{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "from sklearn.metrics import mean_squared_error as mse, mean_absolute_error as mae\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from statsmodels.tsa.stattools import adfuller as ADF\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "stock_df = pd.read_csv(\"./stock_train.csv\", index_col = 0, parse_dates=[0])\n",
    "# print(stock_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(stock_df['Close'])\n",
    "plt.title('Daily closing price of stock')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date\n",
      "2010-01-04    127.678436\n",
      "2010-01-05    127.302780\n",
      "2010-01-06    125.289253\n",
      "2010-01-07    123.005257\n",
      "2010-01-08    121.712997\n",
      "2010-01-11    121.179565\n",
      "2010-01-12    124.455299\n",
      "2010-01-13    121.292259\n",
      "2010-01-14    126.626595\n",
      "2010-01-15    127.625847\n",
      "2010-01-18    128.459808\n",
      "2010-01-19    127.550713\n",
      "2010-01-20    124.658150\n",
      "Name: Close, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(stock_df.Close['20100104': '20100120'])\n",
    "# 用插值法拟合出缺失的数据（补充01-09和01-10的数据）\n",
    "stock_df = stock_df.resample('D').interpolate('linear')\n",
    "# print(stock_df.Close['20100104': '20100120'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始序列经检验不平稳,p值为:0.9855780932465037\n"
     ]
    }
   ],
   "source": [
    "# 平稳性检验\n",
    "diff=0\n",
    "adf=ADF(stock_df['Close'])\n",
    "# print(adf)\n",
    "if adf[1]>0.05:\n",
    "    print(u'原始序列经检验不平稳,p值为:%s' %(adf[1]))\n",
    "else:\n",
    "    print(u'原始序列经检验平稳,p值为:%s' %(adf[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始序列为非白噪声序列,p值为:0.0\n"
     ]
    }
   ],
   "source": [
    "# 纯随机性检验\n",
    "from statsmodels.stats.diagnostic import acorr_ljungbox\n",
    "[[lb],[p]]=acorr_ljungbox(stock_df['Close'], lags=1,return_df=False)\n",
    "if p<0.05:\n",
    "    print(u'原始序列为非白噪声序列,p值为:%s'%p)\n",
    "else:\n",
    "    print(u'原始序列为白噪声序列,p值为:%s' %p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                High       Low      Open     Close     Volume  Adj Close\n",
      "Date                                                                    \n",
      "2010-01-05 -0.375656 -0.232910 -0.758835 -0.375656 -1702575.0  -0.310791\n",
      "2010-01-06 -1.502640 -2.021034 -1.502624 -2.013527  1114825.0  -1.665894\n",
      "2010-01-07 -1.735535 -3.328323 -1.675438 -2.283997  1189451.0  -1.889656\n",
      "2010-01-08 -2.396690 -1.337341 -2.073624 -1.292259 -1613632.0  -1.069153\n",
      "2010-01-09  0.225393  0.100174 -0.100177 -0.177811  -543095.0  -0.147110\n",
      "High         float64\n",
      "Low          float64\n",
      "Open         float64\n",
      "Close        float64\n",
      "Volume       float64\n",
      "Adj Close    float64\n",
      "dtype: object\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 采用差分法消除非平稳趋势\n",
    "\n",
    "stock_diff = stock_df.diff(1)\n",
    "diff = stock_diff.dropna()\n",
    "print(diff.head())\n",
    "print(diff.dtypes)\n",
    "\n",
    "def plotds(xt, nlag=30, fig_size=(12, 10)):\n",
    "    if not isinstance(xt, pd.Series):\n",
    "        xt = pd.Series(xt)\n",
    "    plt.figure(figsize=fig_size)\n",
    "    layout = (2, 2)\n",
    "    \n",
    "    # 设置画图布局\n",
    "    ax_xt = plt.subplot2grid(layout, (0, 0), colspan=2) #最上面是xt图\n",
    "    ax_acf = plt.subplot2grid(layout, (1, 0)) # 左下角是acf图\n",
    "    ax_pacf = plt.subplot2grid(layout, (1, 1)) # 右下角是pacf图\n",
    "    \n",
    "    # 画出原始序列图像、自相关函数图像、偏相关函数图像\n",
    "    xt.plot(ax=ax_xt)\n",
    "    ax_xt.set_title('time series')\n",
    "    plot_acf(xt, lags=nlag, ax=ax_acf)\n",
    "    plot_pacf(xt, lags=nlag, ax=ax_pacf)\n",
    "    plt.tight_layout()\n",
    "\n",
    "    \n",
    "plotds(diff['Close'].dropna(), nlag=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "一阶差分序列经检验平稳,p值为:0.0\n"
     ]
    }
   ],
   "source": [
    "# 一阶差分序列平稳性检验\n",
    "from statsmodels.tsa.stattools import adfuller as ADF\n",
    "adf=ADF(diff['Close'])\n",
    "if adf[1]>0.05:\n",
    "    print(u'一阶差分序列经检验不平稳,p值为:%s' %(adf[1]))\n",
    "else:\n",
    "    print(u'一阶差分序列经检验平稳,p值为:%s' %(adf[1]))\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始序列为非白噪声序列,p值为:3.84830187553991e-07\n"
     ]
    }
   ],
   "source": [
    "# 纯随机性检验\n",
    "from statsmodels.stats.diagnostic import acorr_ljungbox\n",
    "[[lb],[p]]=acorr_ljungbox(diff['Close'], lags=1,return_df=False)\n",
    "if p<0.05:\n",
    "    print(u'原始序列为非白噪声序列,p值为:%s'%p)\n",
    "else:\n",
    "    print(u'原始序列为白噪声序列,p值为:%s' %p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                D.Close   No. Observations:                 2552\n",
      "Model:                 ARIMA(2, 1, 2)   Log Likelihood               -6008.501\n",
      "Method:                       css-mle   S.D. of innovations              2.548\n",
      "Date:                Sat, 15 May 2021   AIC                          12029.002\n",
      "Time:                        20:46:52   BIC                          12064.070\n",
      "Sample:                    01-05-2010   HQIC                         12041.720\n",
      "                         - 12-30-2016                                         \n",
      "=================================================================================\n",
      "                    coef    std err          z      P>|z|      [0.025      0.975]\n",
      "---------------------------------------------------------------------------------\n",
      "const             0.0812      0.057      1.436      0.151      -0.030       0.192\n",
      "ar.L1.D.Close    -0.5127      0.249     -2.060      0.039      -1.000      -0.025\n",
      "ar.L2.D.Close     0.2269      0.152      1.498      0.134      -0.070       0.524\n",
      "ma.L1.D.Close     0.6169      0.250      2.471      0.013       0.128       1.106\n",
      "ma.L2.D.Close    -0.1763      0.166     -1.062      0.288      -0.502       0.149\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1           -1.2542           +0.0000j            1.2542            0.5000\n",
      "AR.2            3.5133           +0.0000j            3.5133            0.0000\n",
      "MA.1           -1.2055           +0.0000j            1.2055            0.5000\n",
      "MA.2            4.7039           +0.0000j            4.7039            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "# ARIMA模型建立\n",
    "# 导入warnings，忽略warnings\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "model = ARIMA(stock_df['Close'], order = (2,1,2))\n",
    "model_fit = model.fit(disp=0)\n",
    "print(model_fit.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模型拟合\n",
    "stock_df['ARIMA'] = model_fit.predict(typ='levels')\n",
    "f, axarr = plt.subplots(1, sharex = True)\n",
    "f.set_size_inches(12, 8)\n",
    "stock_df['Close'].plot(color = 'b', linestyle = '-', ax=axarr)\n",
    "stock_df['ARIMA'].plot(color = 'r', linestyle = '--', ax=axarr)\n",
    "axarr.set_title('ARIMA(2,1,2)')\n",
    "plt.xlabel('Index')\n",
    "plt.ylabel('Close Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 5.预测\n",
    "# 使用模型预测数据\n",
    "output = model_fit.predict('20120201', '20120207', dynamic=True, typ='levels')\n",
    "# 展示部分数据真实值\n",
    "stock_forcast = pd.concat([stock_df.Close['20120115': '20120207'], output], axis=1, keys=['original', 'predicted'])\n",
    "plt.figure()\n",
    "plt.plot(stock_forcast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date\n",
      "2012-02-01    154.354582\n",
      "2012-02-02    154.425296\n",
      "2012-02-03    154.560732\n",
      "2012-02-04    154.611692\n",
      "2012-02-05    154.720650\n",
      "2012-02-06    154.780701\n",
      "2012-02-07    154.878989\n",
      "Freq: D, dtype: float64\n",
      "Date\n",
      "2012-02-01    153.842972\n",
      "2012-02-02    154.074387\n",
      "2012-02-03    154.115707\n",
      "2012-02-04    154.683197\n",
      "2012-02-05    155.250687\n",
      "2012-02-06    155.818176\n",
      "2012-02-07    153.603302\n",
      "Freq: D, Name: Close, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(output)  # 打印预测值\n",
    "print (stock_df.Close['20120201': '20120207'])  # 打印真实值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "short_MSE: 0.1924, short_RMSE: 0.4387, short_MAE: 0.4313\n"
     ]
    }
   ],
   "source": [
    "# 对短期预测结果进行评估\n",
    "short_label = stock_df.Close['20120201': '20120202']\n",
    "short_prediction = output[:2]\n",
    "short_mse_score = mse(short_label, short_prediction)\n",
    "short_rmse_score = math.sqrt(mse(short_label, short_prediction))\n",
    "short_mae_score = mae(short_label, short_prediction)\n",
    "print('short_MSE: %.4f, short_RMSE: %.4f, short_MAE: %.4f' % (short_mse_score, short_rmse_score, short_mae_score))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "short_MSE: 0.5104, short_RMSE: 0.7144, short_MAE: 0.6032\n"
     ]
    }
   ],
   "source": [
    "# 对长期预测结果进行评估\n",
    "long_label = stock_df.Close['20120201': '20120207']\n",
    "long_prediction = output\n",
    "long_mse_score = mse(long_label, long_prediction)\n",
    "long_rmse_score = math.sqrt(mse(long_label, long_prediction))\n",
    "long_mae_score = mae(long_label, long_prediction)\n",
    "print('short_MSE: %.4f, short_RMSE: %.4f, short_MAE: %.4f' % (long_mse_score, long_rmse_score, long_mae_score))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对后续数据进行预测\n",
    "fig = model_fit.plot_predict(len(stock_df)-50, len(stock_df)+10)\n",
    "predict = model_fit.predict(start=1, end = len(stock_df)+10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
